λ
Integer Codex

7,734,077

13 × 594929
Deficient Odd Composite

For 7,734,077, the 4 positive divisors have a total of 8,329,020. Removing 7,734,077 leaves 594,943, which gives the deficient classification.

Prime Factor Structure

Factorization String 13 × 594929
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,329,020
Proper Divisor Sum 594,943
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #7734029 ← → #7734091

Radix Representation

Decimal 7734077
Binary 11101100000001100111101 (23 bits)
Octal 0o35401475
Hexadecimal 0x76033D

Divisor Catalog (4)

1 13 594,929 7,734,077

Collatz Trajectory (155 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

7,734,077 23,202,232 11,601,116 5,800,558 2,900,279 8,700,838 4,350,419 13,051,258 6,525,629 19,576,888 9,788,444 4,894,222 2,447,111 7,341,334 3,670,667 11,012,002 5,506,001 16,518,004 8,259,002 4,129,501 12,388,504 6,194,252 3,097,126 1,548,563 4,645,690 2,322,845 6,968,536 3,484,268 1,742,134 871,067 2,613,202 1,306,601 3,919,804 1,959,902 979,951 2,939,854 1,469,927 4,409,782 2,204,891 6,614,674 3,307,337 9,922,012 4,961,006 2,480,503 7,441,510 3,720,755 11,162,266 5,581,133 16,743,400 8,371,700 4,185,850 2,092,925 6,278,776 3,139,388 1,569,694 784,847 2,354,542 1,177,271 3,531,814 1,765,907

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